Universität zu Köln

Bondesan, R., Dubail, J., Faribault, A. and Ikhlef, Y. (2015). Chiral SU(2)(k) currents as local operators in vertex models and spin chains. J. Phys. A-Math. Theor., 48 (6). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

The six-vertex model and its spin-S descendants obtained from the fusion procedure are well-known lattice discretizations of the SU(2)(k) WZW models, with k = 2S. It is shown that, in these models, it is possible to exhibit a local observable on the lattice that behaves as the chiral current J(a)(z) in the continuum limit. The observable is built out of generators of the su(2) Lie algebra acting on a small (finite) number of lattice sites. The construction works also for the multi-critical quantum spin chains related to the vertex models, and is verified numerically for S = 1/2 and S = 1 using Bethe ansatz and form factors techniques.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bondesan, R. UNSPECIFIED UNSPECIFIED UNSPECIFIED Dubail, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Faribault, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Ikhlef, Y. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-412548
DOI:	10.1088/1751-8113/48/6/065205
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	48
Number:	6
Date:	2015
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ISOTROPIC HEISENBERG CHAIN; NONLINEAR SIGMA-MODELS; ZUMINO-WITTEN MODELS; CRITICAL-BEHAVIOR; FORM-FACTORS; ARBITRARY SPINS; ALGEBRA Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41254